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Finding the Fourth Proportional to 7,206.84, 9,948.96 and 5,709.96

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Solution

The fourth proportional to 7,206.84, 9,948.96 and 5,709.96 is: 7,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.84 : 9,948.96 = 5,709.96 : x
  2. Step 2: Convert to fraction form
    7,206.84/9,948.96 = 5,709.96/x
  3. Step 3: Cross multiply
    7,206.84x = 9,948.96 × 5,709.96
  4. Step 4: Simplify right side
    7,206.84x = 56,808,163.64
  5. Step 5: Solve for x
    x = 56,808,163.64/7,206.84
  6. Step 6: Final answer
    x = 7,882.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.